EVALUACION DE HIDROCICLON.xlsx

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  • ASTM Alimento Descarga Arena Rebose FinoMalla abertura () Peso gr f(x) Peso gr f(x) Peso gr1/4" 6350 1.40 0.28 1.00 0.20 0.000

    4 4750 1.00 0.20 1.20 0.24 0.0006 3360 2.00 0.40 2.80 0.56 0.0008 2380 2.60 0.52 3.60 0.72 0.00010 2000 1.20 0.24 1.80 0.36 0.00025 707 25.60 5.12 31.00 6.20 0.04035 500 23.80 4.76 27.80 5.56 0.08040 420 18.20 3.64 22.00 4.40 0.20050 297 59.20 11.84 70.40 14.08 2.60070 210 61.60 12.32 71.40 14.28 6.240

    100 150 74.20 14.84 87.80 17.56 9.840140 105 71.40 14.28 84.60 16.92 10.560200 74 50.80 10.16 53.80 10.76 10.800270 53 25.00 5.00 19.80 3.96 9.880400 37 14.20 2.84 7.80 1.56 7.080-400 67.80 13.56 13.20 2.64 42.680

    500 100 500 100 100.00

  • Rebose Finof(x)

    0.000.000.000.000.000.040.080.202.606.249.84

    10.5610.809.887.08

    42.68100.00

  • ASTM Alimento Descarga ArenaMalla abertura () Peso gr f(x) G(x) F(x) Peso gr

    1/4" 6350 1.40 0.28 0.28 99.72 1.004 4750 1.00 0.20 0.48 99.52 1.206 3360 2.00 0.40 0.88 99.12 2.808 2380 2.60 0.52 1.40 98.60 3.6010 2000 1.20 0.24 1.64 98.36 1.8025 707 25.60 5.12 6.76 93.24 31.0035 500 23.80 4.76 11.52 88.48 27.8040 420 18.20 3.64 15.16 84.84 22.0050 297 59.20 11.84 27.00 73.00 70.4070 210 61.60 12.32 39.32 60.68 71.40100 150 74.20 14.84 54.16 45.84 87.80140 105 71.40 14.28 68.44 31.56 84.60200 74 50.80 10.16 78.60 21.40 53.80270 53 25.00 5.00 83.60 16.40 19.80400 37 14.20 2.84 86.44 13.56 7.80-400 67.80 13.56 100.00 0.00 13.20

    500 100 500

    cc=D/R= 3.51R= 87.00 TMSPHD= 305.57 TMSPHF= 392.57 TMSPH

    Alimento Descarga ReboseMalla abertura () f(x) TMSPH f(x) TMSPH f(x)

    1/4" 7551 0.28 1.10 0.2 0.61 0.004 4750 0.20 0.79 0.24 0.73 0.006 3360 0.40 1.57 0.56 1.71 0.008 2380 0.52 2.04 0.72 2.20 0.00

    10 2000 0.24 0.94 0.36 1.10 0.0025 707 5.12 20.10 6.2 18.95 0.0435 500 4.76 18.69 5.56 16.99 0.0840 420 3.64 14.29 4.4 13.44 0.2050 297 11.84 46.48 14.08 43.02 2.6070 210 12.32 48.36 14.28 43.63 6.24

    100 150 14.84 58.26 17.56 53.66 9.84140 105 14.28 56.06 16.92 51.70 10.56200 74 10.16 39.88 10.76 32.88 10.80270 53 5.00 19.63 3.96 12.10 9.88

  • 400 37 2.84 11.15 1.56 4.77 7.08-400 31 13.56 53.23 2.64 8.07 42.68

    392.57 305.57

    D50= 43.74

    Malla abertura () G(f) G(r.) G(d) F(f) F(r.)1/4" 7551 0.28 0.00 0.20 100 100

    4 4750 0.48 0.00 0.44 100 1006 3360 0.88 0.00 1.00 99 1008 2380 1.40 0.00 1.72 99 100

    10 2000 1.64 0.00 2.08 98 10025 707 6.76 0.04 8.28 93 10035 500 11.52 0.12 13.84 88 10040 420 15.16 0.32 18.24 85 10050 297 27.00 2.92 32.32 73 9770 210 39.32 9.16 46.60 61 91

    100 150 54.16 19.00 64.16 46 81140 105 68.44 29.56 81.08 32 70200 74 78.60 40.36 91.84 21 60270 53 83.60 50.24 95.80 16 50400 37 86.44 57.32 97.36 14 43

    -400 31 100.00 100.00 100.00 0 0

    14.82 m 0.6945.84 m 0.883.28 m 60.61

    FF(d50)= 1=FR(d50)= 2=FD(d50)= =

  • Descarga Arena Rebose Finof(x) G(x) F(x) Peso gr f(x) G(x) F(x) CC

    0.20 0.20 99.80 0.00 0.00 0.00 100.00 -3.500.24 0.44 99.56 0.00 0.00 0.00 100.00 5.00 -12.000.56 1.00 99.00 0.00 0.00 0.00 100.00 2.50 7.330.72 1.72 98.28 0.00 0.00 0.00 100.00 2.60 4.380.36 2.08 97.92 0.00 0.00 0.00 100.00 2.00 3.736.20 8.28 91.72 0.04 0.04 0.04 99.96 4.70 4.425.56 13.84 86.16 0.08 0.08 0.12 99.88 5.85 4.914.40 18.24 81.76 0.20 0.20 0.32 99.68 4.53 4.82

    14.08 32.32 67.68 2.60 2.60 2.92 97.08 4.13 4.5314.28 46.60 53.40 6.24 6.24 9.16 90.84 3.10 4.1417.56 64.16 35.84 9.84 9.84 19.00 81.00 1.84 3.5216.92 81.08 18.92 10.56 10.56 29.56 70.44 1.41 3.0810.76 91.84 8.16 10.80 10.80 40.36 59.64 2.893.96 95.80 4.20 9.88 9.88 50.24 49.76 4.69 2.731.56 97.36 2.64 7.08 7.08 57.32 42.68 3.31 2.672.64 100.00 0.00 42.68 42.68 100.00 0.00 2.67100 100 100 3.51 3.82

    R/F= 0.2216191D/F= 0.7783809

    ReboseTMSPH D/F R/F Total ED ER D50

    0.00 0.56 0.00 0.56 100.00 0.00 0.000.00 0.93 0.00 0.93 100.00 0.00 0.000.00 1.09 0.00 1.09 100.00 0.00 0.000.00 1.08 0.00 1.08 100.00 0.00 0.000.00 1.17 0.00 1.17 100.00 0.00 0.000.03 0.94 0.00 0.94 99.816648 0.18 0.000.07 0.91 0.00 0.91 99.592005 0.41 0.000.17 0.94 0.01 0.95 98.722362 1.28 0.002.26 0.93 0.05 0.97 95.005035 4.99 0.005.43 0.90 0.11 1.01 88.935164 11.06 0.008.56 0.92 0.15 1.07 86.240655 13.76 0.009.19 0.92 0.16 1.09 84.911526 15.09 0.009.40 0.82 0.24 1.06 77.774011 22.23 0.008.60 0.62 0.44 1.05 58.467314 41.53 43.74

  • 6.16 0.43 0.55 0.98 43.626549 56.37 0.0037.13 0.15 0.70 0.85 17.847763 82.15 0.0087.00 43.74

    F(d) Fd50 Rd50 Dd50100 0 0 0100 0 0 099 0 0 098 0 0 098 0 0 092 0 0 086 0 0 082 0 0 068 0 0 053 0 0 036 0 0 019 0 0 08 0 0 04 14.82 45.84 3.283 0 0 00 14.82 45.84 3.28

    %

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    Distribucin Alimento, Descarga, Rebose Fd50Rd50

    Abertura ()

    % Ac(-) Acumulado Pasante

  • D50= 52.85 10 100 1000

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    Distribucin Alimento, Descarga, Rebose Fd50Rd50

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    % Acumuado

  • TMSPH %Sp %Sv G.E D.P Pulpa Slido AguaAlimento 361.91 101.38 59.53 29.18 3.57 1.75 347.38 101.38 246.00Rebose 87.00 27.80 34.77 14.55 3.13 1.31 190.98 27.80 163.19Descarga 274.91 71.41 76.85 46.30 3.85 2.32 154.22 71.41 82.82

    3.517Df= 0.68Dr= 1.88Dd= 0.30cc= 3.16

    Caudal (m3/hr)m3/Hr

    BALANCE DE FLUJO Y MASA:

    PULPA SOLIDOS AGUAFeed 361,90 101,37 59,67 29,3 3,57 1,75 346,04 101,37 244,67O' Flow 87,00 27,79 35,03 12,8 3,13 1,31 189,17 27,79 161,38U' Flow 274,91 71,41 83,45 56,8 3,85 2,62 125,95 71,41 54,54

    LEYENDA%Sp PORCENTAJE DE SOLIDOS EN PESO%Sv PORCENTAJE DE SOLIDOS EN VOLUMENG.E. GRAVEDAD ESPECFICAD.P. DENSIDAD DE PULPA

    TMSPH FLUJOm3/Hr %Sp %Sv G.E. D.P.CAUDAL (m3/Hr)

  • h= 3.06 %T= 89.75 TMHPH%S= 96.94g.e= 3.52

    87.00 96.943.27 2.746

    0.032 27.49

    BALANCE DE FLUJO Y MASA:

    PULPA SOLIDOS AGUAFeed 361,90 101,37 59,67 29,3 3,57 1,75 346,04 101,37 244,67O' Flow 87,00 27,79 35,03 12,8 3,13 1,31 189,17 27,79 161,38U' Flow 274,91 71,41 83,45 56,8 3,85 2,62 125,95 71,41 54,54

    LEYENDA%Sp PORCENTAJE DE SOLIDOS EN PESO%Sv PORCENTAJE DE SOLIDOS EN VOLUMENG.E. GRAVEDAD ESPECFICAD.P. DENSIDAD DE PULPA

    TMSPH FLUJOm3/Hr %Sp %Sv G.E. D.P.CAUDAL (m3/Hr)

    Presin de Alimentacin (psi) 8,00Eff (Fino) 0,84Eff (Gruesos) 0,82Eff Total (%) 68,90d50 (Micrmetros) 50,41% Carga Circulante (U/O) 3,16

    CONDICIONES DE OPERACIN

  • TMSPH %S

    D

    87.00 3.131.31 840.96

    274.91 3.852.32 679.10

    TMSPH G.E. %S

    TM/m3 TMPH(H2O)m3/H(pul.)

  • D. P. GPM %V

  • 274.91 76.852.32 82.820.30 154.22

    134.46CC= 3.16

  • 25.98

    361.91 62.191.80 220.030.61 322.94

    34.7714.55

    361.91 3.57 59.531.75 1529.63 29.18

    76.8546.30

    12X16

  • 87.00 34.771.31 163.191.88 190.98

  • 361.91 59.531.75 246.000.68 347.38

  • Alimento Descarga Arena Rebose FinoMalla abertura () Peso gr f(x) G(x) F(x) Peso gr f(x) G(x) F(x) Peso gr

    1/4" 6350 1.40 0.28 0.28 99.72 1.00 0.20 0.20 99.80 0.004 4750 1.00 0.20 0.48 99.52 1.20 0.24 0.44 99.56 0.006 3360 2.00 0.40 0.88 99.12 2.80 0.56 1.00 99.00 0.008 2380 2.60 0.52 1.40 98.60 3.60 0.72 1.72 98.28 0.0010 2000 1.20 0.24 1.64 98.36 1.80 0.36 2.08 97.92 0.0025 707 25.60 5.12 6.76 93.24 31.00 6.20 8.28 91.72 0.0435 500 23.80 4.76 11.52 88.48 27.80 5.56 13.84 86.16 0.0840 420 18.20 3.64 15.16 84.84 22.00 4.40 18.24 81.76 0.2050 297 59.20 11.84 27.00 73.00 70.40 14.08 32.32 67.68 2.6070 210 61.60 12.32 39.32 60.68 71.40 14.28 46.60 53.40 6.24100 150 74.20 14.84 54.16 45.84 87.80 17.56 64.16 35.84 9.84140 105 71.40 14.28 68.44 31.56 84.60 16.92 81.08 18.92 10.56200 74 50.80 10.16 78.60 21.40 53.80 10.76 91.84 8.16 10.80270 53 25.00 5.00 83.60 16.40 19.80 3.96 95.80 4.20 9.88400 37 14.20 2.84 86.44 13.56 7.80 1.56 97.36 2.64 7.08-400 67.80 13.56 100.00 0.00 13.20 2.64 100.00 0.00 42.68

    500 100 500 100 100R= 87.00 TMSPH D/R= 0.73

    cc=D/R= 2.77 D= 241.03 TMSPH R/F= 0.27F= 328.03 TMSPH

    Alimento Descarga ReboseMalla abertura () f(x) TMSPH f(x) TMSPH f(x) TMSPH D/F R/F Total1/4" 7551 0.20 0.65 0.26 0.63 0.02 0.02 0.97 0.03 1.00

    4 5492 0.19 0.61 0.25 0.60 0.00 0.00 0.99 0.01 1.006 3995 0.41 1.34 0.55 1.34 0.00 0.00 1.00 0.00 1.008 2828 0.53 1.72 0.72 1.73 0.00 0.00 1.00 0.00 1.00

    10 2182 0.26 0.84 0.35 0.84 0.00 0.00 1.00 0.00 1.0025 1189 4.78 15.67 6.45 15.55 0.13 0.11 0.99 0.01 1.0035 595 4.35 14.28 5.86 14.12 0.19 0.16 0.99 0.01 1.0040 458 3.42 11.22 4.56 10.99 0.26 0.22 0.98 0.02 1.0050 353 11.34 37.20 14.45 34.82 2.73 2.38 0.94 0.06 1.0070 250 12.21 40.06 14.36 34.61 6.27 5.45 0.86 0.14 1.00

    100 177 15.26 50.05 17.25 41.59 9.73 8.46 0.83 0.17 1.00140 125 14.87 48.78 16.49 39.73 10.40 9.05 0.81 0.19 1.00

  • 200 88 10.54 34.57 10.48 25.26 10.70 9.31 0.73 0.27 1.00270 63 5.33 17.48 3.72 8.96 9.79 8.52 0.51 0.49 1.00400 44 2.95 9.69 1.48 3.56 7.05 6.13 0.37 0.63 1.00

    -400 31 13.37 43.87 2.78 6.69 42.73 37.17 0.15 0.85 1.00328.03 241.03 87.00

    16D50= 61.02

    Malla abertura () G(f) G(r.) G(d) F(f) F(r.) F(d) Fd50 Rd501/4" 7551 0.28 0.00 0.20 100 100 100 0 0

    4 5492 0.48 0.00 0.44 100 100 100 0 06 3995 0.88 0.00 1.00 99 100 99 0 08 2828 1.40 0.00 1.72 99 100 98 0 0

    10 2182 1.64 0.00 2.08 98 100 98 0 025 1189 6.76 0.04 8.28 93 100 92 0 035 595 11.52 0.12 13.84 88 100 86 0 040 458 15.16 0.32 18.24 85 100 82 0 050 353 27.00 2.92 32.32 73 97 68 0 070 250 39.32 9.16 46.60 61 91 53 0 0

    100 177 54.16 19.00 64.16 46 81 36 0 0140 125 68.44 29.56 81.08 32 70 19 0 0200 88 78.60 40.36 91.84 21 60 8 0 0270 63 83.60 50.24 95.80 16 50 4 16.17 49.19400 44 86.44 57.32 97.36 14 43 3 0 0

    -400 31 100.00 100.00 100.00 0 0 0 16.17 49.19

    16.17 m 0.81 R/D= 2.7749.19 m 0.84 R/F= 0.274.06 m 67.86 % D/F= 0.73

    FF(d50)= 1=FR(d50)= 2=FD(d50)= =

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    Fd50Rd50Dd50

    Abertura ()

    % Ac(-) Acumulado Pasante

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    Fd50Rd50Dd50

    Abertura ()

    % Ac(-) Acumulado Pasante

  • Rebose Fino Alimento u/f 0/f D/Rf(x) G(x) F(x) CC Malla Abertura f d r

    0.00 0.00 100.00 -3.50 1/4" 6350 0.28 0.20 0.00 -3.500.00 0.00 100.00 5.00 4 4750 0.20 0.24 0.00 5.000.00 0.00 100.00 2.50 6 3360 0.40 0.56 0.00 2.500.00 0.00 100.00 2.60 8 2380 0.52 0.72 0.00 2.600.00 0.00 100.00 2.00 10 2000 0.24 0.36 0.00 2.000.04 0.04 99.96 4.70 25 707 5.12 6.20 0.04 4.700.08 0.12 99.88 5.85 35 500 4.76 5.56 0.08 5.850.20 0.32 99.68 4.53 40 420 3.64 4.40 0.20 4.532.60 2.92 97.08 4.13 50 297 11.84 14.08 2.60 4.136.24 9.16 90.84 3.10 70 210 12.32 14.28 6.24 3.109.84 19.00 81.00 1.84 100 150 14.84 17.56 9.84 1.84

    10.56 29.56 70.44 1.41 140 105 14.28 16.92 10.56 1.4110.80 40.36 59.64 -1.07 200 74 10.16 10.76 10.80 -1.079.88 50.24 49.76 4.69 270 53 5.00 3.96 9.88 4.697.08 57.32 42.68 3.31 400 37 2.84 1.56 7.08 3.31

    42.68 100.00 0.00 2.67 -400 0 13.56 2.64 42.68 2.67100 2.74

    2.73R= 87.00 TMSPHD= 23.07 TMSPHF= 110.07 TMSPH

    ED ER D5097.06 2.94 0.0099.44 0.56 0.00

    100.12 -0.12 0.00100.08 -0.08 0.00100.42 -0.42 0.0099.27 0.73 0.0098.86 1.14 0.0098.00 2.00 0.0093.61 6.39 0.0086.39 13.61 0.0083.09 16.91 0.0081.45 18.55 0.00

  • 73.07 26.93 0.0051.26 48.74 61.0236.71 63.29 0.0015.26 84.74 0.00

    61.02

    Dd500000000000000

    4.060

    4.06

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  • (r-d) (d-f) (r-d)*(d-f) f(x)f f(x)d F(x)r G(x)f G(x)d G(x)r cc-0.20 -0.08 0.04 0.02 -0.13 -0.08 0.20 0.26 0.02 0.20 0.26 0.02 2.77-0.24 0.04 0.06 -0.01 -0.02 -0.01 0.19 0.25 0.00 0.38 0.51 0.03 2.77-0.56 0.16 0.31 -0.09 0.01 0.01 0.41 0.55 0.00 0.79 1.07 0.02 2.77-0.72 0.20 0.52 -0.14 0.01 0.01 0.53 0.72 0.00 1.32 1.78 0.02 2.77-0.36 0.12 0.13 -0.04 0.02 0.02 0.26 0.35 0.00 1.57 2.13 0.02 2.77-6.16 1.08 37.95 -6.65 -0.55 -0.34 4.78 6.45 0.13 6.35 8.58 0.15 2.77-5.48 0.80 30.03 -4.38 -0.65 -0.41 4.35 5.86 0.19 10.70 14.44 0.34 2.77-4.20 0.76 17.64 -3.19 -0.35 -0.22 3.42 4.56 0.26 14.12 19.00 0.60 2.77

    -11.48 2.24 131.79 -25.72 -0.80 -0.50 11.34 14.45 2.73 25.46 33.45 3.33 2.77-8.04 1.96 64.64 -15.76 -0.17 -0.11 12.21 14.36 6.27 37.67 47.81 9.60 2.77-7.72 2.72 59.60 -21.00 0.67 0.42 15.26 17.25 9.73 52.93 65.06 19.33 2.77-6.36 2.64 40.45 -16.79 0.95 0.59 14.87 16.49 10.40 67.80 81.55 29.73 2.770.04 0.60 0.00 0.02 0.61 0.38 10.54 10.48 10.70 78.34 92.03 40.43 2.775.92 -1.04 35.05 -6.16 0.53 0.33 5.33 3.72 9.79 83.67 95.75 50.22 2.775.52 -1.28 30.47 -7.07 0.18 0.11 2.95 1.48 7.05 86.63 97.22 57.27 2.77

    40.04 -10.92 1603.20 -437.24 -0.30 -0.19 13.37 2.78 42.73 100.00 100.00 100.002051.88 -544.20 2.77

    0.265 R/D= 2.77R/F= 0.265D/F= 0.735

    (r-d)2

    =

  • Peso gramosMalla abertura () Alimento Descarga Rebose

    1/4" 6350 7551 1.40 1.00 0.004 4750 5492 1.00 1.20 0.006 3360 3995 2.00 2.80 0.008 2380 2828 2.60 3.60 0.00

    10 2000 2182 1.20 1.80 0.0025 707 1189 25.60 31.00 0.0435 500 595 23.80 27.80 0.0840 420 458 18.20 22.00 0.2050 297 353 59.20 70.40 2.6070 210 250 61.60 71.40 6.24100 150 177 74.20 87.80 9.84140 105 125 71.40 84.60 10.56200 74 88 50.80 53.80 10.80270 53 63 25.00 19.80 9.88400 37 44 14.20 7.80 7.08-400 -37 31 67.80 13.20 42.68

    500.00 500.00 100.00

  • f(x) d(x) r(x)0.28 0.20 0.00 0.28 0.20 0.000.20 0.24 0.00 0.48 0.44 0.000.40 0.56 0.00 0.88 1.00 0.000.52 0.72 0.00 1.40 1.72 0.000.24 0.36 0.00 1.64 2.08 0.005.12 6.20 0.04 6.76 8.28 0.044.76 5.56 0.08 11.52 13.84 0.123.64 4.40 0.20 15.16 18.24 0.32

    11.84 14.08 2.60 27.00 32.32 2.9212.32 14.28 6.24 39.32 46.60 9.1614.84 17.56 9.84 54.16 64.16 19.0014.28 16.92 10.56 68.44 81.08 29.5610.16 10.76 10.80 78.60 91.84 40.365.00 3.96 9.88 83.60 95.80 50.242.84 1.56 7.08 86.44 97.36 57.32

    13.56 2.64 42.68 100.00 100.00 100.00100.00 100.00 100.00

  • F(x)f F(x)d F(x)r99.72 99.80 100.0099.52 99.56 100.0099.12 99.00 100.0098.60 98.28 100.0098.36 97.92 100.0093.24 91.72 99.9688.48 86.16 99.8884.84 81.76 99.6873.00 67.68 97.0860.68 53.40 90.8445.84 35.84 81.0031.56 18.92 70.4421.40 8.16 59.6416.40 4.20 49.7613.56 2.64 42.680.00 0.00 0.00

  • REAJUSTE DE DATOS POR MINIMOS Y CUADRADOS Jr(@)

    CALCULO DE LA CARGA CIRCULANTE CON DATOS REALESMalla Abertura Alimento Tyler % % Ac(-) % % Ac(-)

    1/4" 7551 0.28 99.72 0.20 99.804 5492 0.20 99.52 0.24 99.566 3995 0.40 99.12 0.56 99.008 2828 0.52 98.60 0.72 98.2810 2182 0.24 98.36 0.36 97.9225 1189 5.12 93.24 6.20 91.7235 595 4.76 88.48 5.56 86.1640 458 3.64 84.84 4.40 81.7650 353 11.84 73.00 14.08 67.6870 250 12.32 60.68 14.28 53.40100 177 14.84 45.84 17.56 35.84140 125 14.28 31.56 16.92 18.92200 88 10.16 21.40 10.76 8.16270 63 5.00 16.40 3.96 4.20400 44 2.84 13.56 1.56 2.64-400 31 13.56 0.00 2.64 0.00

    TOTAL 100.00 100.00

    CALCULO DE LA CARGA CIRCULANTE CON DATOS CORREGIDOSMalla Abert Alimento UnderflowTyler % % Ac(-) % % Ac(-)1/4" 7551 0.20 99.80 0.26 99.74

    4 5492 0.19 99.62 0.25 99.496 3995 0.41 99.21 0.55 98.938 2828 0.53 98.68 0.72 98.2210 2182 0.26 98.43 0.35 97.8725 1189 4.78 93.65 6.45 91.4235 595 4.36 89.29 5.86 85.5640 458 3.42 85.87 4.56 81.0050 353 11.34 74.53 14.44 66.56

    Underflow

  • 70 250 12.22 62.31 14.36 52.20100 177 15.26 47.05 17.25 34.95140 125 14.87 32.18 16.48 18.46200 88 10.54 21.64 10.48 7.98270 63 5.33 16.31 3.72 4.26400 44 2.95 13.36 1.48 2.79-400 31 13.36 0.00 2.79 0.00

    TOTAL 100.0 100.0

    Malla Abert Alimento UnderflowTyler % % Ac(-) % % Ac(-)1/4" 7551 0.20 99.80 0.26 99.74

    4 5492 0.19 99.62 0.25 99.496 3995 0.41 99.21 0.55 98.938 2828 0.53 98.68 0.72 98.22

    10 2182 0.26 98.43 0.35 97.8725 1189 4.78 93.65 6.45 91.4235 595 4.36 89.29 5.86 85.5640 458 3.42 85.87 4.56 81.0050 353 11.34 74.53 14.44 66.5670 250 12.22 62.31 14.36 52.20100 177 15.26 47.05 17.25 34.95140 125 14.87 32.18 16.48 18.46200 88 10.54 21.64 10.48 7.98270 63 5.33 16.31 3.72 4.26

    2.70 2.75 2.80 2.85 2.90 2.95 3.002.3

    2.3

    2.3

    2.3

    2.3

    2.4

    2.4RELACIN ENTRE r y Jr

    r

    Jr

  • 400 44 2.95 13.36 1.48 2.79-400 31 13.36 0.00 2.79 0.00

    TOTAL 100 100

    cc= 2.777

    R= 87.00 TM/HrD= 241.59 TM/HrF= 328.59 TM/Hr

    Malla Abert Alimento UnderflowTyler % TMSPH % TMSPH1/4" 7551 0.20 0.65 0.26 0.63

    4 5492 0.19 0.61 0.25 0.616 3995 0.41 1.34 0.55 1.348 2828 0.53 1.73 0.72 1.7310 2182 0.26 0.84 0.35 0.8425 1189 4.78 15.70 6.45 15.5935 595 4.36 14.31 5.86 14.1540 458 3.42 11.24 4.56 11.0250 353 11.34 37.27 14.44 34.9070 250 12.22 40.14 14.36 34.69100 177 15.26 50.14 17.25 41.68140 125 14.87 48.87 16.48 39.82200 88 10.54 34.63 10.48 25.32270 63 5.33 17.51 3.72 8.99400 44 2.95 9.70 1.48 3.57-400 31 13.36 43.91 2.79 6.73

    TOTAL 100.00 328.59 100.00 241.59

    D50c= 60.94

    Malla Abert Alimento UnderflowTyler % % Ac(-) % % Ac(-)1/4" 7551 0.20 99.80 0.26 99.74

    4 5492 0.19 99.62 0.25 99.496 3995 0.41 99.21 0.55 98.938 2828 0.53 98.68 0.72 98.2210 2182 0.26 98.43 0.35 97.87

  • 25 1189 4.78 93.65 6.45 91.4235 595 4.36 89.29 5.86 85.5640 458 3.42 85.87 4.56 81.0050 353 11.34 74.53 14.44 66.5670 250 12.22 62.31 14.36 52.20100 177 15.26 47.05 17.25 34.95140 125 14.87 32.18 16.48 18.46200 88 10.54 21.64 10.48 7.98270 63 5.33 16.31 3.72 4.26400 44 2.95 13.36 1.48 2.79-400 31 13.36 0.00 2.79 0.00

    TOTAL 100.00 100.00

    16.0649.194.12

    R/D= 2.78 FF(d50)= R/F= 0.26 FR(d50)= D/F= 0.74 FD(d50)=

    FF(d50)= 1=FR(d50)= 2=FD(d50)= =

  • Ingreso de datosDatos importantes o para interpolacinDatos extrados de otras hojas

    REAJUSTE DE DATOS POR MINIMOS Y CUADRADOS Jr(@)

    CALCULO DE LA CARGA CIRCULANTE CON DATOS REALESC. Circ

    % % Ac(-) D/R

    0.00 100.00 -3.5000.00 100.00 5.0000.00 100.00 2.5000.00 100.00 2.6000.00 100.00 2.0000.04 99.96 4.7040.08 99.88 5.8500.20 99.68 4.5262.60 97.08 4.1256.24 90.84 3.1029.84 81.00 1.838

    10.56 70.44 1.40910.80 59.64 -1.0679.88 49.76 4.6927.08 42.68 3.313

    42.68 0.00 2.667100.00 2.735

    CALCULO DE LA CARGA CIRCULANTE CON DATOS CORREGIDOSOverflow C. Circ

    % % Ac(-) D/R0.02 99.98 2.7770.00 99.97 2.7770.00 99.98 2.7770.00 99.98 2.7770.00 99.98 2.7770.13 99.85 2.7770.19 99.66 2.7770.26 99.41 2.7772.73 96.67 2.777

    Overflow

  • 6.27 90.41 2.7779.73 80.68 2.777

    10.40 70.28 2.77710.70 59.58 2.7779.79 49.78 2.7777.05 42.73 2.777

    42.73 0.00100.0 (Jr)

    r

    Overflow Alimen. Arena Rebose% % Ac(-) D50C D50C D50C

    0.02 99.98 0.00 0.00 0.000.00 99.97 0.00 0.00 0.000.00 99.98 0.00 0.00 0.000.00 99.98 0.00 0.00 0.000.00 99.98 0.00 0.00 0.000.13 99.85 0.00 0.00 0.000.19 99.66 0.00 0.00 0.000.26 99.41 0.00 0.00 0.002.73 96.67 0.00 0.00 0.006.27 90.41 191 241 0.009.73 80.68 0.00 0.00 0.00

    10.40 70.28 0.00 0.00 0.0010.70 59.58 0.00 0.00 639.79 49.78 0.00 0.00 0.00

    2.70 2.75 2.80 2.85 2.90 2.95 3.002.3

    2.3

    2.3

    2.3

    2.3

    2.4

    2.4RELACIN ENTRE r y Jr

    r

    Jr

  • 7.05 42.73 0.00 0.00 0.0042.73 0.00 0.00 0.00 0.00

    100

    Overflow% TMSPH U/F O/F EU EO

    0.02 0.02 0.971 0.03 97.07 2.930.00 0.00 0.994 0.01 99.45 0.550.00 0.00 1.001 0.00 100.13 -0.130.00 0.00 1.001 0.00 100.08 -0.080.00 0.00 1.004 0.00 100.42 -0.420.13 0.11 0.993 0.01 99.28 0.720.19 0.16 0.989 0.01 98.86 1.140.26 0.22 0.980 0.02 98.00 2.002.73 2.38 0.936 0.06 93.62 6.386.27 5.45 0.864 0.14 86.41 13.599.73 8.46 0.831 0.17 83.12 16.88

    10.40 9.05 0.815 0.19 81.48 18.5210.70 9.31 0.731 0.27 73.12 26.889.79 8.52 0.513 0.49 51.33 48.677.05 6.13 0.368 0.63 36.78 63.22

    42.73 37.18 0.153 0.85 15.33 84.67100.00 87.00

    Overflow% % Ac(-) Fd50 Dd50 Rd50

    0.02 99.98 0 0 00.00 99.97 0 0 00.00 99.98 0 0 00.00 99.98 0 0 00.00 99.98 0 0 0

  • 0.13 99.85 0 0 00.19 99.66 0 0 00.26 99.41 0 0 02.73 96.67 0 0 06.27 90.41 0 0 09.73 80.68 0 0 010.40 70.28 0 0 010.70 59.58 0 0 09.79 49.78 16.06 4.12 49.197.05 42.73 0 0 042.73 0.00 0 0 0100 16.06 4.12 49.19

    0.81 R/D= 2.780.84 R/F= 0.26

    68.10 % D/F= 0.74

    16.06 1= 0.8149.19 2= 0.84

    4.12 = 68.10 %

  • MODELOS MATEMATICOS UTILIZADOS

    Es necesario corregir los datos obtenidos de los anlisis granulomtricos de las muestras del alimento, rebose y descarga, debido a que ningunmuestreo es perfecto y los valoresde F, O y U calculados por balance, generalmente son diferentes para cada juego de malla

    Total F = O + U .....(1) Por mallas F f = Oo + U u .....(2)

    El valor de U/O calculado deberia ser unico para todas las mallas1. Seleccionar el valor de r = U/O que haga minima la suma de los cuadrados ajustadosValor seleccionado Minimo J(r) = S

    0.453.70

    Promedio de los datos mas cercanos

    AJUSTE DE DATOS POR METODO DEL JR1 2 3 4 5 6Jr Jr Jr Jr Jr Jr

    0.011 0.011 0.011 0.011 0.011 0.0110.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.202 0.197 0.193 0.188 0.184 0.1800.277 0.272 0.268 0.263 0.259 0.2540.083 0.081 0.079 0.077 0.075 0.0730.432 0.420 0.408 0.397 0.386 0.375

    Jk (r) = (x 1k (1+ r) - x 2 k - x 3 k r ) 2

    2 (1 + r + r2)

    S k = x jk (1+ r) - x 2k - x 3k r2(1 + r + r2)

  • 0.023 0.021 0.019 0.018 0.016 0.0150.265 0.271 0.278 0.284 0.290 0.2960.546 0.553 0.560 0.568 0.575 0.5820.232 0.232 0.232 0.231 0.231 0.2310.185 0.181 0.177 0.173 0.169 0.1650.024 0.023 0.022 0.020 0.019 0.0180.025 0.036 0.048 0.063 0.080 0.0982.2942 2.2877 2.2838 2.2825 2.2836 2.28702.73 2.75 2.76 2.78 2.79 2.80

    Jr. MIN. SUMA 2.2825r. 2.7769 Ingresar este dato

    f= 0.014

    Alimen. Arena ReboseD50C D50C D50C

    0.00 0.00 0.000.00 0.00 0.000.00 0.00 0.000.00 0.00 0.000.00 0.00 0.000.00 0.00 0.000.00 0.00 0.00402 451 0.000.00 0.00 0.000.00 0.00 0.000.00 0.00 1740.00 0.00 0.000.00 0.00 0.000.00 0.00 0.00

    2.72 2.74 2.76 2.78 2.80 2.82 2.84 2.86 2.88 2.90 2.922.2200

    2.2400

    2.2600

    2.2800

    2.3000

    2.3200

    2.3400

    2.3600

    2.3800

    2.4000

    Row 50

  • 0.00 0.00 0.000.00 0.00 0.00

    D50c0.000.000.000.000.000.000.000.000.000.000.000.000.00

    60.940.000.00

    60.94

    10 100 1000 100000

    25

    50

    75

    100

    Curva de Tromp

    EUEO

    Abertura ()

    % Eficiencia

    10 100 1000 100000

    20

    40

    60

    80

    100

    Curva de distribucin Alimento, Descarga, Rebose

    Fd50Dd50Rd50

    Abertura ()

    % Acumulado Pasante

  • 10 100 1000 100000

    20

    40

    60

    80

    100

    Curva de distribucin Alimento, Descarga, Rebose

    Fd50Dd50Rd50

    Abertura ()

    % Acumulado Pasante

  • MODELOS MATEMATICOS UTILIZADOS

    Es necesario corregir los datos obtenidos de los anlisis granulomtricos de las muestras del alimento, rebose y descarga, debido a que ningunmuestreo es perfecto y los valoresde F, O y U calculados por balance, generalmente son diferentes para cada juego de malla

    F f = Oo + U u .....(2) Combinando 1 y 2 Cc =

    Promedio de los datos mas cercanos

    7 8 9 10 11 12Jr Jr Jr Jr Jr Jr

    0.011 0.011 0.011 0.011 0.011 0.0110.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.0000.176 0.172 0.168 0.164 0.161 0.1570.250 0.246 0.241 0.237 0.233 0.2290.072 0.070 0.068 0.066 0.065 0.0630.364 0.353 0.343 0.333 0.323 0.313

    n

    J (r) = Jk (r)n=1

    j

    Jk (r) = (x ik - x jk)2

    i=1

  • 0.013 0.012 0.010 0.009 0.008 0.0070.302 0.309 0.315 0.321 0.327 0.3340.589 0.596 0.603 0.610 0.617 0.6240.231 0.231 0.231 0.231 0.230 0.2300.161 0.158 0.154 0.151 0.147 0.1440.017 0.016 0.015 0.014 0.013 0.0120.118 0.139 0.162 0.187 0.213 0.241

    2.2929 2.3009 2.3113 2.3237 2.3384 2.35502.82 2.83 2.85 2.86 2.87 2.89

    Optimo

    2.72 2.74 2.76 2.78 2.80 2.82 2.84 2.86 2.88 2.90 2.922.2200

    2.2400

    2.2600

    2.2800

    2.3000

    2.3200

    2.3400

    2.3600

    2.3800

    2.4000

    Row 50

  • 10 100 1000 100000

    25

    50

    75

    100

    Curva de Tromp

    EUEO

    Abertura ()

    % Eficiencia

    10 100 1000 100000

    20

    40

    60

    80

    100

    Curva de distribucin Alimento, Descarga, Rebose

    Fd50Dd50Rd50

    Abertura ()

    % Acumulado Pasante

  • 10 100 1000 100000

    20

    40

    60

    80

    100

    Curva de distribucin Alimento, Descarga, Rebose

    Fd50Dd50Rd50

    Abertura ()

    % Acumulado Pasante

  • MODELOS MATEMATICOS UTILIZADOS

    ( f - o ) O (u - f )

    Promedio de los datos mas cercanos

    13Jr Sk

    0.011 0.0220.000 0.0040.000 -0.0020.000 -0.0020.000 -0.0040.153 0.0910.225 0.1070.062 0.0580.304 0.131

    U =

  • 0.006 0.0280.340 -0.1110.631 -0.1570.230 -0.1000.140 -0.0870.011 -0.0300.270 0.0522.37372.90

  • INGRESO DE DATOSSIN CORREGUIRBALANCELAGRANGEHoja1Jr mnimos